CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK

DOI10.1081/AGB-120004495zbMath1008.20048OpenAlexW2043877495MaRDI QIDQ3146323

Rüdiger Göbel, Ekaterina Blagoveshchenskaya

Publication date: 19 January 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120004495

zbMATH Keywords

direct sumssubgroups of finite indextorsion-free Abelian groupsalmost completely decomposable groupsalmost rigid groupsdirect decompositionsnear-isomorphisms

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (9)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Abelian groups in Russia. ⋮ Direct decompositions of torsion-free abelian groups ⋮ Determination of a class of countable-rank, torsion-free Abelian groups by their endomorphism rings. ⋮ Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups ⋮ Near isomorphism for countable-rank torsion-free abelian groups ⋮ Near-isomorphism for bounded completely decomposable groups ⋮ Cyclic regulator quotient groups in the class of almost completely decomposable groups. ⋮ Near Isomorphism for a Class of Infinite Rank Torsion-Free Abelian Groups

Cites Work

• Gauß' theorem for two submodules
• Classification of modules with two distinguished pure submodules and bounded quotients
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